67583218013 has 2 divisors, whose sum is σ = 67583218014. Its totient is φ = 67583218012.

The previous prime is 67583217979. The next prime is 67583218033. The reversal of 67583218013 is 31081238576.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62529003364 + 5054214649 = 250058^2 + 71093^2 .

It is a cyclic number.

It is not a de Polignac number, because 67583218013 - 2²² = 67579023709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67583218033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33791609006 + 33791609007.

It is an arithmetic number, because the mean of its divisors is an integer number (33791609007).

Almost surely, 2^67583218013 is an apocalyptic number.

It is an amenable number.

67583218013 is a deficient number, since it is larger than the sum of its proper divisors (1).

67583218013 is an equidigital number, since it uses as much as digits as its factorization.

67583218013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 67583218013 in words is "sixty-seven billion, five hundred eighty-three million, two hundred eighteen thousand, thirteen".